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Finding the Fourth Proportional to 6,714.65, 10,073.63 and 4,744.16

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Solution

The fourth proportional to 6,714.65, 10,073.63 and 4,744.16 is: 7,117.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.65 : 10,073.63 = 4,744.16 : x
  2. Step 2: Convert to fraction form
    6,714.65/10,073.63 = 4,744.16/x
  3. Step 3: Cross multiply
    6,714.65x = 10,073.63 × 4,744.16
  4. Step 4: Simplify right side
    6,714.65x = 47,790,838.41
  5. Step 5: Solve for x
    x = 47,790,838.41/6,714.65
  6. Step 6: Final answer
    x = 7,117.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.